Finding the Third Proportional to 53,219 and 116,806

Step by Step Solution

1. Step 1: Write the proportion equation
   53,219 : 116,806 = 116,806 : x
2. Step 2: Convert to fraction form
   53,219/116,806 = 116,806/x
3. Step 3: Cross multiply
   53,219x = 116,806 × 116,806
4. Step 4: Simplify right side
   53,219x = 13,643,641,636
5. Step 5: Solve for x
   x = 13,643,641,636/53,219
6. Step 6: Final answer
   x = 256,367.87